Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 23/563,598/296
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 23,598
Greatest Common Factor of Numerators i.e. GCF of 23,598 is 23 .
LCM of Denominators means LCM of 563,296 as per the given fractions.
LCM of 563,296 is 166648 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 23,598
23 | 23, 598 |
1, 26 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 598
List of positive integer factors of 598 that divides 598 without a remainder.
1,2,13,23,26,46,299,598
Greatest Common Factor
We found the factors 23,598 . The biggest common factor number is the GCF number.
So the greatest common factor 23,598 is 23.
Lets's calculate LCM of 563,296
Given numbers has no common factors except 1. So, there LCM is their product i.e 166648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/166648
Therefore, the GCF of Fractions 23/563,598/296 is 23/166648
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 563,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,296) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,296) x common factors =1 x 1 = 1
LCM(563,296) = ( 563 × 296 ) / 1
LCM(563,296) = 166648 / 1
LCM(563,296) = 166648
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 23/563, 598/296?
Answer: GCF of Numerators as per given numbers 23/563, 598/296 is
GCF of Numerators i.e. for 23,598 is 23
LCM of denominators i.e. for 563,296 is 166648.
Thus, GCF of Fractions is 23/166648.Finally, GCF of Fractions for 23/563, 598/296 is 23/166648.